Column leaching experiments with ion adsorption-type rare earth ores for different lixiviant concentrations and different column heights were carried out. A mathematical model of column leaching was constructed based on the experimental data. Two parameters (a and b) in the model were determined according to the following methodology: the ore column was divided into several units; each unit was treated with multiple leaching steps. The leaching process was simulated as a series of batch leaching experiments. Parameter a of the model was determined based on the selectivity coefficient of the balanced batch leaching experiment. Further, the influences of ammonium sulfate concentration, rare earth grade, column height, permeability coefficient, and hydrodynamic dispersion coefficient on the extraction were analyzed. Relationships between parameter b, the ammonium sulfate concentration, and the physical and mechanical properties of the ore column, were examined using dimensional analysis. It was determined that the optimal ammonium sulfate concentration for different column heights (2.5, 5.0, 7.5, and 10.0 cm) using the mathematical model were 5.9, 6.2, 7.3, and 7.7 g/L, respectively. The mathematical model can be used to estimate the breakthrough curve, leaching rate, and leaching period of rare earth ores, to achieve optimal extraction.

进行了不同浸滤剂浓度和不同柱高的离子吸附型稀土矿石的柱浸实验。根据实验数据建立了柱浸的数学模型。根据以下方法确定模型中的两个参数（a和b）：矿石柱分为几个单元；每个单元都经过多个浸出步骤处理。浸出过程被模拟为一系列分批浸出实验。根据平衡分批浸出实验的选择性系数确定模型的参数a。此外，分析了硫酸铵浓度，稀土级，柱高，渗透系数和水动力分散系数对萃取的影响。参数b之间的关系 使用尺寸分析检查了硫酸铵的浓度，以及矿石柱的物理和机械性能。使用数学模型确定的不同柱高（2.5、5.0、7.5和10.0 cm）的最佳硫酸铵浓度分别为5.9、6.2、7.3和7.7 g / L。该数学模型可用于估算稀土矿的穿透曲线，浸出率和浸出时间，以实现最佳提取效果。